Several numerical methods for computing unitary polar factor of a matrix

Advances in Difference Equations

Fazlollah Soleymani¹  Stanford Shateyi²  Farhad Khaksar Haghani³ 

[1] Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Mathematics and Applied Mathematics, University of Venda, Thohoyandou, South Africa;Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

关键词: iterative methods;    polar decomposition;    numerical methods;    polar factor;    Hermitian;    order of convergence;    65F30;   

DOI  :  10.1186/s13662-015-0732-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present several numerical schemes for computing the unitary polar factor of rectangular complex matrices. Error analysis shows high orders of convergence. Many experiments in terms of number of iterations and elapsed times are reported to show the efficiency of the new methods in contrast to the existing ones.

【 授权许可】

CC BY